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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 378, Pages 5–16 (Mi znsl3823)  
This article is cited in 28 scientific papers (total in 29 papers)

Nonfree actions of countable groups and their characters

A. M. Vershik

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (589 kB) Citations (29)
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Abstract: We introduce a number of definitions of nonfree actions of groups. The most important of them is that of a totally nonfree action; it is naturally related to the theory of characters of groups and their factor representations. This short note is a brief exposition of a part of a more detailed paper on this subject, which is now in preparation. Bibl. 8 titles.
Key words and phrases: nonfree actions, lattice of subgroups, characters, factor representations.
Received: 06.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 174, Issue 1, Pages 1–6
DOI: https://doi.org/10.1007/s10958-011-0273-2
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. M. Vershik, “Nonfree actions of countable groups and their characters”, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 5–16; J. Math. Sci. (N. Y.), 174:1 (2011), 1–6
Citation in format AMSBIB
\Bibitem{Ver10}
\by A.~M.~Vershik
\paper Nonfree actions of countable groups and their characters
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 378
\pages 5--16
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3823}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 174
\issue 1
\pages 1--6
\crossref{https://doi.org/10.1007/s10958-011-0273-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952078720}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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